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Finding the Fourth Proportional to 406,753.48, 610,457.46 and 229,431.52

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Solution

The fourth proportional to 406,753.48, 610,457.46 and 229,431.52 is: 344,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,753.48 : 610,457.46 = 229,431.52 : x
  2. Step 2: Convert to fraction form
    406,753.48/610,457.46 = 229,431.52/x
  3. Step 3: Cross multiply
    406,753.48x = 610,457.46 × 229,431.52
  4. Step 4: Simplify right side
    406,753.48x = 140,058,182,943.14
  5. Step 5: Solve for x
    x = 140,058,182,943.14/406,753.48
  6. Step 6: Final answer
    x = 344,331.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.